关于概率统计的题,请给详解
Distribution of minimum of random variables.
Let X1 ,X2 ,· · · ,Xn be
independent random variables from an exponential distribution with the density function
f (x) =1/τ* e-x/τ(这里我打不出来,后面是e的-x/τ次方）
Define the minimum of X1 ,X2 ,· · · ,Xn as
X(1) = min(X1 ,X2 ,· · · ,Xn ).
a.Find the distribution function of X(1) .
b.What is the density function of X(1)